{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 一.朴素贝叶斯分类器简介\n",
    "朴素贝叶斯模型（Naive Bayes）中的“朴素”就在于它的条件独立性假设：   \n",
    "\n",
    "$$\n",
    "p(X_1,X_2,...,X_n\\mid Y)=p(X_1\\mid Y)\\cdot p(X_2\\mid Y)\\cdots p(X_n\\mid Y)\n",
    "$$  \n",
    "\n",
    "用概率图表示如下：  \n",
    "![avatar](./source/12_朴素贝叶斯概率图.png)\n",
    "所以它的联合概率分布：   \n",
    "\n",
    "$$\n",
    "p(X_1,X_2,...,X_n,Y)=p(Y)\\prod_{i=1}^np(X_i\\mid Y)\n",
    "$$  \n",
    "\n",
    "所以，朴素贝叶斯分类器可以定义如下：   \n",
    "\n",
    "$$\n",
    "f(x)=arg\\max_{c_k}P(Y=c_k)\\prod_{i=1}^nP(X_i=x_i\\mid Y=c_k)\n",
    "$$  \n",
    "\n",
    "这里$c_k(k=1,2,...,K)$表示分类器所属的类别"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 二.参数估计\n",
    "对于朴素贝叶斯中参数$p(Y=c_k)$以及$p(X_i=x_i\\mid Y=c_k)$可以通过极大似然估计来学习，下面直接写估计结果\n",
    "\n",
    "#### 1.求解$p(Y=c_k)$\n",
    "\n",
    "$$\n",
    "p(Y=c_k)=\\frac{\\sum_{i=1}^NI(y_i=c_k)}{N},k=1,2,...,K,N表示样本量\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2.求解$p(X_i=x_i\\mid Y=c_k)$\n",
    "假设第$i$个特征可能的取值为$A_i=\\{a_{i1},a_{i2},...,a_{iS_i}\\}$，所以有$x_i=a_{il}\\in A_i$，所以：   \n",
    "\n",
    "$$\n",
    "p(X_i=x_i\\mid Y=c_k)=p(X_i=a_{il}\\mid Y=c_k)=\\frac{\\sum_{j=1}^NI(x_i^j=a_{il},y_i=c_k)}{\\sum_{i=1}^nI(y_j=c_k)}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 三.代码实现"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "os.chdir('../')\n",
    "import numpy as np\n",
    "from ml_models import utils\n",
    "from ml_models.wrapper_models import DataBinWrapper\n",
    "%matplotlib inline\n",
    "\n",
    "\"\"\"\n",
    "朴素贝叶斯分类器实现，封装到ml_models.pgm\n",
    "\"\"\"\n",
    "\n",
    "class NaiveBayesClassifier(object):\n",
    "    def __init__(self, max_bins=10):\n",
    "        \"\"\"\n",
    "        :param max_bins:为了方便，对x每维特征做分箱\n",
    "        \"\"\"\n",
    "        self.dbw = DataBinWrapper(max_bins=max_bins)\n",
    "        # 记录模型参数\n",
    "        self.default_y_prob = None  # y的默认概率\n",
    "        self.default_x_prob = {}  # x的默认概率\n",
    "        self.p_y = {}  # p(y)\n",
    "        self.p_x_y = {}  # p(x | y)\n",
    "        self.class_num = None\n",
    "\n",
    "    def fit(self, x, y):\n",
    "        self.default_y_prob = np.log(0.5 / (y.max()+1))\n",
    "        # 分箱\n",
    "        self.dbw.fit(x)\n",
    "        x_bins = self.dbw.transform(x)\n",
    "        # 参数估计\n",
    "        self.class_num = y.max() + 1\n",
    "        for y_index in range(0, self.class_num):\n",
    "            # p(y)\n",
    "            y_n_sample = np.sum(y == y_index)\n",
    "            self.default_x_prob[y_index] = np.log(0.5 / y_n_sample)\n",
    "            x_y = x_bins[y == y_index]\n",
    "            self.p_y[y_index] = np.log(y_n_sample / (self.class_num + len(y)))\n",
    "            self.p_x_y[y_index] = {}\n",
    "            # p(x | y)\n",
    "            for i in range(0, x_y.shape[1]):\n",
    "                self.p_x_y[y_index][i] = {}\n",
    "                x_i_feature_set = set(x_y[:, i])\n",
    "                for x_feature in x_i_feature_set:\n",
    "                    self.p_x_y[y_index][i][x_feature] = np.log(\n",
    "                        np.sum(x_y[:, i] == x_feature) / (y_n_sample + len(x_i_feature_set)))\n",
    "\n",
    "    def predict_proba(self, x):\n",
    "        x_bins = self.dbw.transform(x)\n",
    "        rst = []\n",
    "        for x_row in x_bins:\n",
    "            tmp = []\n",
    "            for y_index in range(0, self.class_num):\n",
    "                try:\n",
    "                    p_y_log = self.p_y[y_index]\n",
    "                except:\n",
    "                    p_y_log = self.default_y_prob\n",
    "                for i,xij in enumerate(x_row):\n",
    "                    try:\n",
    "                        p_y_log += self.p_x_y[y_index][i][xij]\n",
    "                    except:\n",
    "                        p_y_log += self.default_x_prob[y_index]\n",
    "                tmp.append(p_y_log)\n",
    "            rst.append(tmp)\n",
    "        return utils.softmax(np.asarray(rst))\n",
    "\n",
    "    def predict(self, x):\n",
    "        return np.argmax(self.predict_proba(x), axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#造伪数据\n",
    "from sklearn.datasets.samples_generator import make_blobs\n",
    "X, y = make_blobs(n_samples=400, centers=4, cluster_std=0.85, random_state=0)\n",
    "X = X[:, ::-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x19d641d9b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#查看效果\n",
    "nb = NaiveBayesClassifier(max_bins=20)\n",
    "nb.fit(X, y)\n",
    "utils.plot_decision_function(X, y, nb)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "由于对连续值做了分箱处理，导致边界处的样本点划分不够细腻，处理这种情况，我们可以将每一类样本的每一维特征视作从某一一维高斯分布抽样而来，则便是gaussian naive bayes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 四.Gaussian NB\n",
    "我们可以假设$p(X_i\\mid Y=c_k)$来源于一个一维的高斯分布：   \n",
    "\n",
    "$$\n",
    "p(x_i\\mid y=c_k)=\\frac{1}{\\sqrt{2\\pi}\\cdot\\sigma_{k,i}}exp(-\\frac{(x_i-u_{k,i})^2}{2\\sigma_{k,i}^2})\n",
    "$$  \n",
    "\n",
    "$u_{k,i},\\sigma_{k,i}$分别表示第$k$个类别在第$i$个特征上的高斯分布的均值和标准差，而对高斯分布的参数做极大似然估计也非常好计算，$u,\\sigma$即是对应样本的所在特征集合的均值和标准差（求解过程可在EM那一章找到），接下来对上面的代码略作调整即可"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\"\n",
    "高斯朴素贝叶斯分类器实现，封装到ml_models.pgm\n",
    "\"\"\"\n",
    "\n",
    "class GaussianNBClassifier(object):\n",
    "    def __init__(self):\n",
    "        self.p_y = {}  # p(y)\n",
    "        self.p_x_y = {}  # p(x | y)\n",
    "        self.class_num = None\n",
    "\n",
    "    def fit(self, x, y):\n",
    "        # 参数估计\n",
    "        self.class_num = y.max() + 1\n",
    "        for y_index in range(0, self.class_num):\n",
    "            # p(y)\n",
    "            y_n_sample = np.sum(y == y_index)\n",
    "            self.p_y[y_index] = np.log(y_n_sample / len(y))\n",
    "            self.p_x_y[y_index] = {}\n",
    "            # p(x | y)\n",
    "            x_y = x[y == y_index]\n",
    "            for i in range(0, x_y.shape[1]):\n",
    "                u = np.mean(x_y[:, i])\n",
    "                sigma = np.std(x_y[:, i])\n",
    "                self.p_x_y[y_index][i] = [u, sigma]\n",
    "\n",
    "    def predict_proba(self, x):\n",
    "        rst = []\n",
    "        for x_row in x:\n",
    "            tmp = []\n",
    "            for y_index in range(0, self.class_num):\n",
    "                p_y_log = self.p_y[y_index]\n",
    "                for j in range(0, len(x_row)):\n",
    "                    xij = x_row[j]\n",
    "                    p_y_log += np.log(utils.gaussian_1d(xij, self.p_x_y[y_index][j][0], self.p_x_y[y_index][j][1]))\n",
    "                tmp.append(p_y_log)\n",
    "            rst.append(tmp)\n",
    "        return utils.softmax(np.asarray(rst))\n",
    "\n",
    "    def predict(self, x):\n",
    "        return np.argmax(self.predict_proba(x), axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x19d641d9b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#查看效果\n",
    "gnb = GaussianNBClassifier()\n",
    "gnb.fit(X, y)\n",
    "utils.plot_decision_function(X, y, gnb)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "哟，这结果不是和上一章EM中的GMM分类器效果差不多（仔细看，会有一点点小差异），只是EM中是使用的二维高斯分布，而这里是使用的二个一维高斯分布，其实当特征间条件独立时，满足如下的关系：   \n",
    "\n",
    "$$\n",
    "N(x_1,x_2\\mid \\theta)=N_1(x_1\\mid \\theta_1)N_2(x_2\\mid \\theta_2)\n",
    "$$  \n",
    "\n",
    "即一个高维高斯的概率分布可以直接拆为多个一维高斯概率分布的乘积，具体证明可以参看这篇[博客>>>](https://www.cnblogs.com/jermmyhsu/p/8251013.html)，不想码公式了~~~"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
